Results 11 to 20 of about 91,361 (227)

Computing necessary integrability conditions for planar parametrized homogeneous potentials [PDF]

open access: yes, 2014
Let $V\in\mathbb{Q}(i)(\a_1,\dots,\a_n)(\q_1,\q_2)$ be a rationally parametrized planar homogeneous potential of homogeneity degree $k\neq -2, 0, 2$. We design an algorithm that computes polynomial \emph{necessary} conditions on the parameters $(\a_1 ...
Bostan, Alin   +2 more
core   +5 more sources

On-orbit geometric calibration and preliminary accuracy verification of GaoFen-14 (GF-14) optical two linear-array stereo camera

open access: yesEuropean Journal of Remote Sensing, 2023
The GaoFen-14 (GF-14) satellite is China’s most recent high-resolution earth observation satellite system. It is equipped with a two linear-array stereo camera and is intend for topographic mapping at 1:10,000-scale without ground control points (GCPs ...
Bincai Cao   +8 more
doaj   +1 more source

On the Bifurcation of Limit Cycles Due to Polynomial Perturbations of Hamiltonian Centers [PDF]

open access: yes, 2017
Agraïments: The third author is partially supported by FCT/Portugal through UID/MAT/04459/2013.We study the number of limit cycles bifurcating from the peri- od annulus of a real planar polynomial Hamiltonian ordinary differential system with a center at
Colak, Ilker   +2 more
core   +2 more sources

Application of Power Geometry and Normal Form Methods to the Study of Nonlinear ODEs

open access: yesEPJ Web of Conferences, 2018
This paper describes power transformations of degenerate autonomous polynomial systems of ordinary differential equations which reduce such systems to a non-degenerative form.
Edneral Victor
doaj   +1 more source

A New Method to Estimate Changes in Glacier Surface Elevation Based on Polynomial Fitting of Sparse ICESat—GLAS Footprints

open access: yesSensors, 2017
We present in this paper a polynomial fitting method applicable to segments of footprints measured by the Geoscience Laser Altimeter System (GLAS) to estimate glacier thickness change.
Tianjin Huang   +5 more
doaj   +1 more source

Automatic Planar Optical Waveguide Devices Packaging System Based on Polynomial Fitting Algorithm

open access: yesAdvances in Mechanical Engineering, 2013
This paper has proposed an automatic precise alignment coupling algorithm of planar optical waveguide devices based on polynomial fitting, and the experiment shows that for 1 × 8 planar optical waveguide splitter, the time it takes for alignment is ...
Yu Zheng   +3 more
doaj   +1 more source

Phase portraits and optical soliton solutions of coupled nonlinear Maccari systems describing the motion of solitary waves in fluid flow

open access: yesResults in Physics, 2022
The coupled nonlinear Maccari systems are very important equations which have been developed vigorously in the fields of the nonlinear optics, deep water theory, plasma physics, nonlinear optics and so on.
Zhao Li, Xinyu Xie, Changjiang Jin
doaj   +1 more source

Spanning forests in regular planar maps (conference version) [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2013
We address the enumeration of $p$-valent planar maps equipped with a spanning forest, with a weight $z$ per face and a weight $u$ per component of the forest.
Mireille Bousquet-Mélou   +1 more
doaj   +1 more source

New Exact Solutions of Some Nonlinear Systems of Partial Differential Equations Using the First Integral Method

open access: yesAbstract and Applied Analysis, 2013
The first integral method introduced by Feng is adopted for solving some important nonlinear systems of partial differential equations, including classical Drinfel'd-Sokolov-Wilson system (DSWE), (2 + 1)-dimensional Davey-Stewartson system, and ...
Shoukry Ibrahim Atia El-Ganaini
doaj   +1 more source

On the Recognition of Fan-Planar and Maximal Outer-Fan-Planar Graphs [PDF]

open access: yes, 2014
Fan-planar graphs were recently introduced as a generalization of 1-planar graphs. A graph is fan-planar if it can be embedded in the plane, such that each edge that is crossed more than once, is crossed by a bundle of two or more edges incident to a ...
A. Grigoriev   +19 more
core   +1 more source

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